## [answered] Benedictine University MGM 150 Test 4: Probability Distribu

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Benedictine University

MGM 150

Test 4:

Probability Distributions/Binomial Distribution 1. 2. Questions 3-4 are binomially distributed.

3. A survey from the teenage Research Unlimited (Northbrook Illinois) found that 30% of teenage

jobs consumers receive their spending money from part time jobs. If 5 teenagers are selected at

random, find the probability of the following

a. 3 will have part time jobs

b. 4 will have part time jobs

c. 5 will have part time jobs

d. At least 3 have part time jobs

4. Thirty-two percent of adult internet users have purchased products or services online. For a

random sample of 200 adult internet users, find the mean, variance and standard deviation for

the number who have purchased goods or services online. Chapter 7: The Normal Distribution

5. Find the area under the standard normal distribution curve:

a. between z = 0 and z = 1.77

b. between z = 0.24 and z = ?2.14

c. To the right of z = 2.01

d. To the right of z =1.92 and to the left of z=-0.44

e. To the left of z = -2.15 and to the right of z= 1.62

6. Find probabilities for each, using the standard normal distribution:

a. P (0 &lt; z &lt; 1.96)

b. P (z &gt; 2.51)

c. P (1.51 &lt; z &lt; 2.17)

7. The average annual salary for all U.S. teachers is \$47,750. Assume that that distribution is

normal and the standard deviation is \$5680. Find the probability that a randomly selected

sample of teachers earns. (give both answers to four decimal places)

a. Between \$35,000 and \$45,000 a year

b. More than \$40,000 a year.

For Questions 8 ? 9, create a scatterplot of data, compute the correlation coefficient,

(r), determine whether a linear relation exists, comment on the nature of the

association (i.e. positive or negative) if it exists.

8. x

y 2

4 4

8 6

10 6

13 7

20 x

y 2

10 3

9 5

7 6

4 6

2 9. For each data set below (In questions 10 and 11), determine the least-squares regression line

equation (y = ax+b). (Hint: View the videos)

10. x

y 0

5.8 2

5.7 3

5.2 5

2.8 6

1.9 x

y 2

1.4 4

1.8 8

2.1 8

2.3 9

2.6 11. 6

2.2

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